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dc.contributor.author	Hernández-Gutiérrez, Rodrigo	es_ES
dc.contributor.author	Hoehn, Logan C.	es_ES
dc.date.accessioned	2023-11-15T07:29:30Z
dc.date.available	2023-11-15T07:29:30Z
dc.date.issued	2023-10-02
dc.identifier.issn	1576-9402
dc.identifier.uri	http://hdl.handle.net/10251/199687
dc.description.abstract	[EN] Let X be a smooth fan and denote its set of endpoints by E(X). Let E be one of the following spaces: the natural numbers, the irrational numbers, or the product of the Cantor set with the natural numbers. We prove that there is a smooth fan X such that E(X) is homeomorphic to E and for every homeomorphism h : X → X , the restriction of h to E(X) is the identity. On the other hand, we also prove that if X is any smooth fan such that E(X) is homeomorphic to complete Erdős space, then X is necessarily homeomorphic to the Lelek fan; this adds to a 1989 result by Włodzimierz Charatonik.	es_ES
dc.description.sponsorship	The second named author was partially supported by NSERC grant RGPIN2019-05998. We would also like to thank the Department of Mathematics and the Division of Basic Sciences and Engineering of the Universidad Autónoma Metropolitana, Iztapalapa for funding the second named author’s visit to Mexico city during May, 2019.	es_ES
dc.language	Inglés	es_ES
dc.publisher	Universitat Politècnica de València	es_ES
dc.relation.ispartof	Applied General Topology	es_ES
dc.rights	Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)	es_ES
dc.subject	Smooth fan	es_ES
dc.subject	Rigidity	es_ES
dc.subject	Lelek fan	es_ES
dc.subject	Almost zero-dimensional	es_ES
dc.subject	Erdős space	es_ES
dc.title	Smooth fans that are endpoint rigid	es_ES
dc.type	Artículo	es_ES
dc.identifier.doi	10.4995/agt.2023.17922
dc.relation.projectID	info:eu-repo/grantAgreement/NSERC//RGPIN2019-05998	es_ES
dc.rights.accessRights	Abierto	es_ES
dc.description.bibliographicCitation	Hernández-Gutiérrez, R.; Hoehn, LC. (2023). Smooth fans that are endpoint rigid. Applied General Topology. 24(2):407-422. https://doi.org/10.4995/agt.2023.17922	es_ES
dc.description.accrualMethod	OJS	es_ES
dc.relation.publisherversion	https://doi.org/10.4995/agt.2023.17922	es_ES
dc.description.upvformatpinicio	407	es_ES
dc.description.upvformatpfin	422	es_ES
dc.type.version	info:eu-repo/semantics/publishedVersion	es_ES
dc.description.volume	24	es_ES
dc.description.issue	2	es_ES
dc.identifier.eissn	1989-4147
dc.relation.pasarela	OJS\17922	es_ES
dc.contributor.funder	Universidad Autónoma Metropolitana	es_ES
dc.contributor.funder	Natural Sciences and Engineering Research Council of Canada	es_ES
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